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Course Code : CS-60
Course Title : Foundation Course in Mathematics in Computing
Assignment Number : BCA(2)-60/TMA/07
Maximum Marks : 10
Last Date of Submission : 15 th October, 2007

This is a Tutor Marked Assignment. There are four questions in this assignment. Answer all the questions. You may use illustrations and diagrams to enhance explanations.

Question 1: Differentiate y w.r.t. x where

(3 marks)

Question 2: Find: (1 ½ marks)

Question 3: If f(x) =

if x is an integer

Find whether f is continuous at x = 5. (2 ½ marks)

Question 4: For the following function, find a point of maxima and a point of minima, if these exist:

f(x) = 17x⁵ – 14x³ + 44. (3 marks)

Course Code : CS-60
Course Title : Foundation Course in Mathematics in Computing
Assignment Number : BCA(2)-60/Project/07
Maximum Marks : 15
Last Date of Submission : 30 th October, 2007

This is a project assignment. There are five questions in this assignment. Answer all the questions. You may use illustrations and diagrams to enhance explanations.

Question 1: Find all the sixth roots of (12+5i). (1 marks)

Question 2:Ifα, b, g are the roots of the equation

x³─7x² + x + 5 = 0,

                              find the equation whose roots are

                             α² + b², b² + g², g² + α².  (5 marks)

Question 3: Evaluate: (2 marks)

Question 4: Find the area bounded by the x-axis, the curve y = e^2x and the ordinates x = 4 and x = 6. (3 marks)

Question 5(a): Find the equation of the line joining the points (2 marks)

(7, 9, ─3) and (11, ─5, ─2).

(b) Find the equation of the sphere, which contains the circle

x² + y² + z² = 16, 3x + 3y + 3z = 17 and

passes through the origin.(2 marks)

Course Code : CS-62
Course Title : ‘C’ Programming & Data Structure
Assignment Number : BCA (2)-62/TMA/07
Maximum Marks : 10
Last Date of Submission : 15 th October, 2007

This is a Tutor Marked Assignment. There are two questions in this assignment. Answer all the questions. Each question carries equal weightage. You may use illustrations and diagrams to enhance explanations.

Question 1:   Write a program in 'c' language to merge the contents of two binary search trees into one. Also, calculate the time and space complexities of your program?

Question 2: Write a C++ program to create functions that calculate the value of Xⁿ.

                     Assume that X=|=0, n=|=0.

Course Code : CS-62
Course Title : ‘C’ Programming & Data Structure
Assignment Number : BCA(2)-62/Project/07
Maximum Marks : 15
Last Date of Submission : 30 th October, 2007

 This is a Project Assignment. Answer the following question. You may use illustrations and diagrams to enhance explanation.

 Question 1: Write a C program to create a calculator. The program will accept an arithmetic expression (assumed to be valid expression of only +, -, *, /, 1/x, and % operations) from the user. Evaluate the expression and display the results. Including the above functions, this calculate should provide the temporary buffer (memory function), to store and retrieve the temporary number values.

Note: You may include some features and function in your calculator program.

Course Code : CS-612
Course Title : PC Software Application Skills
Assignment Number : BCA(2)-612/TMA/07
Maximum Marks : 10
Last Date of Submission : 15 th October, 2007

This is a Tutor Marked Assignment. There are three questions in this Assignment. Answer all the questions. Each question carries equal weightage.

Question 1: What is FTP? Explain commonly used FTP commands.(3 marks)

(3 marks)

Question 3: a) Prove that the sum of the squares of the first n integers is

1/24 (2n) (2n+1) (2n+2). (2 marks)

b) Explain Konigsberg seven bridge problem. (2 marks)

Course Code : CS-612
Course Title : PC Software Application Skills
Assignment Number : BCA(2)-612/Project/07
Maximum Marks : 15
Last Date of Submission : 30 th October, 2007

There are three questions in this project assignment. Answer all the questions.

Question 1: Give detailed information on the topic “ Web Browsers” by browsing the Internet. List the browsed URLs and the information associated with them. (3 marks)

Note the following:

·  Col. D - H: You must enter correct formulas under Columns D through H (Flying Fuel, Reserve Fuel, Holding Fuel, Total Fuel Needed and Estimated Fuel Cost)!! Read and compute carefully!

·  Cells C12, C13, C14, H13 or H14: When you use these cells in a formula, you must make them absolute cell references (F4 key after your type the cell reference, or enter the $ sign manually)

·  Graph/Chart: Select cells A3:B8 (Plane and Flight). Hold down the "Control" key and select D3:D8. Hold down the "Control" key and select G3:G8. Create a chart (Insert-Chart, Finish) and position it in a pleasing way under the data for the flight. Print it on one sheet, in landscape mode.

·  Print again, but with Formulae: There are two ways to show formulas:
1) Enter Control+` (the key with the ~ at the top left)
or 2) Tools-Options, and under "Window Options" put a check mark beside "Formulas", then close the window.

Question 3:     a) What is the remainder left after dividing

                             1! + 2! + 3! +…………………+ 100!   by   7?

(8 marks)

                       

 b) Open e-mail account with any email service provider website, and show different components of e-mail.